Numerical solution of the heteronuclear diatomic Schrodinger equation using various empirical potential functions via the Numerov method

HEIDARI , A. and BEG, Osman (2011). Numerical solution of the heteronuclear diatomic Schrodinger equation using various empirical potential functions via the Numerov method. International Journal of Applied Mathematics and Mechanics, 7 (8), 38-55.

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Official URL: http://ijamm.bc.cityu.edu.hk/ijamm/wp_home.asp

Abstract

In order to represent the potential energy function over the whole range of R, many empirical potential energy functions have been proposed, by which one can determine certain molecular constants. In the present paper, we employ the potential functions of Morse, Rydberg,Varshni(II), Varshni(III), Varshni(VI), Poschl-Teller, Hulburt-Hirschfelder, Lippincott, Frost-Musulin, Linnet, and Rosen-Morse, and use the Numerov method for solving the nuclear Schrödinger equation for IF, as an example of a heteronuclear diatomic molecule. Herewith,the vibrational and vibration-rotation energy levels are obtained.

Item Type: Article
Research Institute, Centre or Group: Materials and Engineering Research Institute > Polymers Nanocomposites and Modelling Research Centre > Materials and Fluid Flow Modelling Group
Depositing User: Helen Garner
Date Deposited: 24 Oct 2011 13:02
Last Modified: 24 Oct 2011 13:02
URI: http://shura.shu.ac.uk/id/eprint/3965

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